Multiple choice

The value of C required for sinusoidal oscillations of frequency 1 kHz in the circuit of the figure is

  1. $\dfrac{1}{2\pi}\mu F$
  2. 2$\pi$$\mu F$
  3. $\dfrac{1}{2\pi \sqrt6}\mu F$
  4. 2$pi$$\sqrt6$$\mu F$
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A Correct answer
Explanation

The given circuit is wein bridge oscillator. The frequency of oscillation is

$$ 2\pi f = \dfrac{1}{RC}\\

or \quad C= \dfrac{1}{2\pi Rf} = \dfrac{1}{2\pi\times10^3\times10^3} = \dfrac{1}{2\pi}\mu

$$